In the triangle below, what is the length of the side opposite the 30° angle?

Answer:

12:2 or 6:1

Step-by-step explanation:

Answer:

A = 1.77 ft^2

Step-by-step explanation:

The circle has  a diameter of 1.5 ft

We need the radius

r = d/2 = 1.5/2 = .75 ft

The area of a circle is

A = pi r^2

A = 3.14 ( .75)^2 = 1.76625

To the nearest hundredth

A = 1.77 ft^2

Answer:

1.77 ft²

Step-by-step explanation:

The formula to find the area of a circle :

A = πr²

First, let us find the radius of the circle.

Given that,

diameter ⇒ 1.5 ft

d = 2r

1.5 = 2r

Divide both sides by 2.

0.75 = radius

Now, let us find the area of the circle.

A = πr²

A = 3.142 × 0.75 × 0.75

A = 1.767 ft²

A ≈ 1.77 ft²

The fraction of the whole pan of cornbread each child will get is 1/12.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, 1/3 of a pan of cornbread shared among 4 children.

Here, cornbread share of each child = Total quantity of bread/Number of children

= 1/3 ÷ 4

= 1/3 × 1/4

= 1/12

Therefore, the fraction of the whole pan of cornbread each child will get is 1/12.

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Answer:

Their intersection point is the only point where the same input into both functions yields the same output.

Step-by-step explanation:

In this case, x = 0 and y = 5.

Answer:

the x² test statistic 13.71

Option a) 13.71 is the correct answer.

Step-by-step explanation:

Given the data in the question;

Feeder                     1      2      3       4

Observed visits; [tex]o_i[/tex]  60   90   92    58

data sample = 300

Expected [tex]e_i[/tex] = 300 / 4 = 75

the x² test statistic = ?

[tex]X^2_{stat[/tex] = ∑[ ([tex]o_i[/tex] - [tex]e_i[/tex])²/[tex]e_i[/tex]]

[tex]X^2_{stat[/tex] = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]

[tex]X^2_{stat[/tex] = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]

[tex]X^2_{stat[/tex] = 13.7066 ≈ 13.71

Therefore, the x² test statistic 13.71

Option a) 13.71 is the correct answer.

Answer:

.50

Step-by-step explanation:

50% is .50. The price of the item is .50 (100%-50% discount).

Answer:

Answer:

9000 metres

Step-by-step explanation:

a kilometer has 1000 metres

so 9 kilometers has 9*1000 = 9000 metres

Answer:

Step-by-step explanation:

1 km=1000m

9 km=1000*9m

=9000 m

Answer:

The correct answer is A I believe . . .

Answer:

A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.

Step-by-step explanation:

Rectangles are parallelograms since they have 2 pairs of parallel sides.  All rectangles also have 4 right angles and 2 pairs of opposites sides that are of equal lengths.

Answer:

250

Step-by-step explanation:

Basic wage is 40 * 6.25

Answer:

40x6.25=250

Step-by-step explanation:

She makes 6.25 per hour

she works 40 hours

Multiply the two to find how much she made in a week, not a day

Step-by-step explanation:

tan 0 = y/x (as a drawing attached)

The requried, y/x is equal to tan θ using coordinates on the unit circle. Option C is correct.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

Here,
In a unit circle, the coordinates of a point on the circle are (cos θ, sin θ), where θ is the angle formed by the radius of the circle and the positive x-axis. Therefore, the tangent of θ is given by the ratio of sin θ to cos θ, which is (sin θ)/(cos θ) = y/x. Simplifying this expression, we get tan θ = y/x.

Therefore, the answer is option C) y/x.

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Answer:

552

Step-by-step explanation:

Area of a Triangle→S.A.S.

Area=1/2 ab sin C

area = 1/2 (64)(83) sin 168

area=552.213=552

If ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.Then area of ΔNOP is 552 square inch.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given,

ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.

The length of two sides and an angle is given.

So we can use SAS postulate

The SAS postulate says that if two sides of one triangle and the angle included between them are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.

Area of a Triangle

Area=1/2 absin C

area = 1/2 (64)(83) sin 168

area =2656 sin 168

area=552.213=552

Hence area of ΔNOP, to the nearest square inch is 552 square inch

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Answer:

a) 6.09 %

b) 9.36 %

Step-by-step explanation:

a) Given  

% of questions that are truthful = 87% = -.87

% of right questions that are falsely indicated as lies = 7%

Percentage of the answers that the polygraph wrongly indicate as lies = 0.87 * 0.07 = 0.0609 = 0.1 = 10%

b) % of answers that are lies = 13% = 0.13

% of answers that are correctly caught as lies = 72%

percentage of the answers that the polygraph will correctly indicate as lies

= 0.13 * 0.72 = 0.0936 = 0.1 = 10 %

Answer:

Step-by-step explanation:

When moving -18 to the other side, he didn’t do 20 + 18. (Mistake 1)

When dividing 2/-4 he didn’t flip the inequality from > to <. (Mistake 2)

Correct:

[tex]-18-4y<20\\-4y<38\\y > -9.5 (or -4\frac{1}{2}[/tex]

Answer:

2^n will be your explicit formula for this sequence.

Step-by-step explanation:

By analyzing the sequence;

2=2^1

4=2^2

8=2^3

and so on

We find that the numbers of this sequence progresses with 2 to the power of the nth term such as for 3rd term we have 2^3 which is 8.

Answer:

3:7

Step-by-step explanation:

a ratio is a representation of a certain amount of two items. since there are 7 vases for every 3 planters, the amount of vases versus the amount of planters is represented by 3:7

Answer:

It is six cm。

Step-by-step explanation:

9514 1404 393

Answer:

  1 7 21 35 35 21 7 1

Step-by-step explanation:

Numbering from k=0 to k=7, the k-th coefficient in the row is ...

  C(7, k) = 7!/(k!(7-k)!)

You know the first two in row 7 are 1 and 7. There are 8 in the row, and the row is the same forward and backward. This means you only need to find C(7, 2) and C(7, 3). These are ...

  C(7, 2) = 7!/(2!(5!)) = 7·6/(2·1) = 21

  C(7, 3) = 7!/(3!(4!)) = 7·6·5/(3·2·1) = 35

So, row 7 is ...

  1, 7, 21, 35, 35, 21, 7, 1

Answer:

30% discount

that's a big discount!

Answer:

30%

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

maybe

Answer:

Step-by-step explanation:

2.55cm

[tex] \red{answer}[/tex]

$-150

Arithmetic

0.89=89%=89/100

Answer:

C. 285.71

Step-by-step explanation:

Answer:

The answer is cos B = 2/3

I hope it will help you :)

Answer:

1792

Step-by-step explanation:

1 pound = 16 ounces

7 x 16 x 16

= 7 x 16^2

= 7 x 256

= 1792

Answer:

Graph the -x+2y=-8  as  y=1/2x-4

and 2x+4=6  as  y=-2x+6

Step-by-step explanation:

hope you understand how to graph y=mx+b equations.

Answer:

x=5, x=-17/5

Step-by-step explanation:

x=integer

5x-8=  ...is eight less than five times another product

=85

So our equation is x·(5x-8)=85

Steps:

distribute x

5x^2-8x=85

Subtract 85 to create a quadratic equation

5x^2-8x-85=0

Now I"ll upload the work that's shown in Symbolab because it's neater than my own work-

Hope I helped, have a nice day :)

Answer:

x=121

Step-by-step explanation:

1. Move the constant to the right-hand side and change its sign

square rootx = 6+5

2. Add the numbers

square rootx= 11

3. Square both sides of the equation

x=121

Check if the given value is the solution of the equation

square root 121 -5 =6

Simplify the expression

6=6

The equality is true, therefore x=121 is a solution of the equation

Answer:

If there are 32 teams in the tournament and 1 winner, there were 31 games. So, 63 - 31 = 32 games.

Step-by-step explanation:

you would do 64/1 • 1/4 to get 16 so every round 16 people would leave.

Answer:

44

Step-by-step explanation:

50% is half of the whole

88/2=44

Answer:

44

Step-by-step explanation:

88/2